determinants of trigonometric functions and class numbers

determinants of trigonometric functions and class numbers
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DOI：
10.1016/j.laa.2022.08.001
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发表时间：
2022
期刊：
Linear Algebra and its Applications
影响因子：
--
通讯作者：
Xuejun Guo
Xuejun Guo
中科院分区：
--
文献类型：
--
作者：
Xuejun Guo

文献摘要

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We study two determinants involving tangent and cotangent functions and prove two conjectures made by Zhi-Wei Sun in 2019. Both determinants are divisible by the first factor of the class numbers of associated cyclotomic fields.